The first power operation, the master please enter, all the formulas of the first power operation?

Because 2x + 3y - 4 = 0

So there is 2x + 3y = 4

So 9 x + 27 y = (3 2) x * 3 3) y3 2x * 3 3y

3^(2x + 3y)

3x^2＋2)(5x^4＋2x^2＋3)－(5x^4＋x^2＋3)(3x^2＋3)

Solution: Let 5x 4 + x 3 + 3 = m, then.

Original (3x 2 + 2)(m + x 2) -m(3x 2 + 3).

3x^2*m + 2m + 3x^4 + 2x^2 - 3x^2*m - 3m

3x^4 + 2x^2 - m

3x^4 + 2x^2 - 5x^4 - x^2 - 3-2x^4 + x^2 - 3

The formula for the operation of the power:

Same as base. Multiplication of power: a m·a n=a (m+n) power of the power: (a m) n=a mn

The power of the product: (ab) m=a m·b m

Divide by the power of the same base: a m a n=a (m-n) (a≠0) These formulas can also be used like this: a (m+n)= a m·a na mn=(a m)·n

a^m·b^m=(ab)^m

a^(m-n)= a^m÷a^n (a≠0)Additional Information:Multiply by the power of the base, the base does not change, and the exponents are added.

In the absence of a large rollover difference, the exponents m and n are positive integers.

But the value of the base a can be 0, positive or negative.

Regarding the calculation, just follow the calculation rules above, regardless of the symbol of a. For example.

Calculate (-a) a).

Because the base number is the same, it is -a, so the above formula = (-a) (2+3) = (a) 5 = -a 5

When a is 0, there are 3 cases: positive or negative.

When a=0, (-a) a) =0, -a 5=-0 5=0, when a=1, (-a) a) =1) 1) =1, -a 5=-1 5=-1

When a=-1, (-a) a) =1) 1) =1, -a 5=-(1) 5=1

All three of the above are true.

For the bases that are not the same, you can first roll into the same base, and then calculate according to the above rules.

In junior high school mathematics, there are several common formulas for power operations:

1.The law of multiplication of power:

For the same base, when the powers are multiplied, the exponents are added. Posture is large.

For example: a m * a n = a (m+n)2The law of power division:

For the same base, when the power is divided, the exponents are subtracted.

For example: a m a n = a (m-n)3The law of the power of power:

When exponential operations are performed on exponential exponents, the exponents are multiplied.

For example: (a m) n = a (m*n).

4.Power of the zero and primary power:

The power of zero of any number is equal to 1.

For example: a 0 = 1

The one-time square of any number is equal to itself.

For example: a 1 = a

5.The negative exponent of the power of the letter tung:

For any non-zero number a, the negative exponent of a is equal to the positive exponent of its reciprocal.

For example: a (-n) = 1 a n

6.The law of the product of the power of the power:

Multiplication can be performed separately when multiplying the powers of the same exponent with different bases but sliding volumes.

For example: a m * b m = a * b) m These are some common formulas for power operations, which can help us to calculate power more conveniently.

Multiply by the power of the base.

Power of power. The power of the product.

Divide by the power of the base.

Multiply the power of the same base: a m·a n=a (m+n) power of the power of the power of the power of the m·a n=(a m)n=a mn

The power of the product: (ab) m=a m·b m

Divide by the same base to the power of the same number: a m a n=a (m-n) (a≠0) when the exponent is zero: a 0=1

When the index is negative, a -p = 1 a p

One liter beat, fiber 1 (a-b)(a-b)^2(b-a)^3 =(a-b)^3(-(a-b)^3) =a-b）^6 2.( =( =( =( =( = 2. Noisy Xiang A 3 b 4=6,A 6 b 8=36

Do you really want to ask questions or are you entertaining? In short, these questions are not difficult, as long as you grasp the main points, think more and practice more, you can solve them by yourself. o( o solution: hint.

2) The odd power of -1 is equal to -1, and the even power is equal to 1; （2/3）^2012=(2/3)^2010 * 2/3)^2；

3) If a is not equal to 0, then a 0=1;

4) 2^x÷2^y=2^(x-y)；2^x * 2^y=2^(x+y)；16=2^4,64=2^6；

5) 3^a×27^b=3^a×(3^3)^b=3^(a+3*b).

I hope the tips are helpful to students, and beginners should do more hands-on calculations. o(∩_o~

1.【—2^-3 —8^-1×（—1^2】（—1/2）^-2

or [—2 -3 —8 -1 (—1 2] (—1 2) -2

2/3)^(2010+2)x(3/2)^2010/(-1)

2/3）^2010x(2/3)^2×（3/2）^2010/(-1)

4.（1）2^x÷2^y=16，2^x·2^y=64

2 (x-y)=2 4 , 2 (x+y)=2 6

We get x-y=4 , x+y=6 and x=5 and y=1

2）（-x）^-y=(-5)^-1=-1/5

5.a-4=-3b gives a+3b=4

3^a×27^b=3^ax(3^3)^b=3^ax3^3b=3^(a+3b)=3^4=81

I hope that through these questions can help you come up with ideas, you have to think more and do more, so that you will be able to change.

What is the exponent of a number, multiply that number several times.

For example, 5 to the 3rd power = 5*5*5=125

For others, see Math Book: Exponential Operations).

The formula for the operation of power: Multiply the power of the same base: a m·a n=a (m+n) power of the power: (a m) n=a mn

The power of the product: (ab) m=a m·b m

Divide by the power of the base: a m a n=a (m-n) (a≠0) These formulas can also be used like this:

a^(m+n)= a^m·a^n

a^mn=(a^m)·n

a^m·b^m=(ab)^m

a (m-n) = a m a n (a≠0)) is still good in the book!!

The length of a cuboid is 5 10 cubic centimeters, the width is 2 10 cubic centimeters, and the height is 3 10 cubic centimeters. Find the volume and surface area of the box.

Knowing that the m power of a = 3 and the n power of a = 20, find the value of m + n power of a. I'll help him answer The input content has reached the length limit, and you can also enter 9999 words to insert**delete**Insert mapDelete mapInsert****Map can get 2 experience points, and if you are selected as satisfied, you can increase experience and wealth points simultaneously.

[(a-b)^3]^2-2(a-b)^3(b-a)^3=(a-b)^6-2[(a-b)(b-a)]^3=(a-b)^6-2[-(a-b)^2]^3=(a-b)^6+2(a-b)^6

3(a-b)^6

That's right, I forgot a little.

The power of power is the power inside multiplied by the power outside.

The power with a negative sign looks at the symbol of the power in the upper right corner, and the equal odd number or the original sign and the equal number are positive signs.

= 6 power of (a-b) + 6 power of 2 (a-b).

3 (a-b) to the 6th power.

By 10 to the power of a = 20, 10 to the power of b = 1 5, 10 to the power of a = 10 to the power of b * 10 squared. A = b + a power = 3 b * 3 squared. Therefore, 3 to the power of a, 3 to the power of b=3 to the power of b*3 squared to the power of 3, to the power of 3 to the power of b=3 squared = 9

Because 10 a = 20 and 10 b = 1 5, divide the two equations to get :

10^(a-b)=20*5=100=10^2.

So a-b=2

Thus, a 9 3 (2b)=9 a 9 b=9 (a-b)=9 2=81